Exponentially fitted numerical method for singularly Perturbed differential equation involving both small And large delay

Abstract

The aim of this thesis is to present exponentially tted numerical method for singularly per- turbed di erential equations involving both large and small delay.The stability and parameter uniform convergence of the proposed method are proved. To validate the applicability of the scheme,one models problems are considered for numerical experimentation and solved for di erent values of the perturbation parameter and mesh size. The numerical results are tabulated in terms of maximum absolute errors and rate of convergence and it observed that the present method is accurate and "-uniformly convergent